Shift-invariant subspaces and wavelets on local fields

被引：5
|
作者：
Behera, B. [1 ]
机构：
[1] Indian Stat Inst, Stat & Math Unit, Kolkata 700108, India
来源：
ACTA MATHEMATICA HUNGARICA | 2016年 / 148卷 / 01期
关键词：
wavelet; local field; frame; shift-invariant;
D O I：
10.1007/s10474-015-0558-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every closed shift-invariant subspace of L (2)(K) is generated by the I >-translates of a countable number of functions, where K is a local field of positive characteristic and I > is an appropriate translation set. We use this result to provide a characterization of wavelets on such a field.
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页码：157 / 173
页数：17
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